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Finding the Fourth Proportional to 10,394.99, 15,598.63 and 3,825.79

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Solution

The fourth proportional to 10,394.99, 15,598.63 and 3,825.79 is: 5,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.99 : 15,598.63 = 3,825.79 : x
  2. Step 2: Convert to fraction form
    10,394.99/15,598.63 = 3,825.79/x
  3. Step 3: Cross multiply
    10,394.99x = 15,598.63 × 3,825.79
  4. Step 4: Simplify right side
    10,394.99x = 59,677,004.67
  5. Step 5: Solve for x
    x = 59,677,004.67/10,394.99
  6. Step 6: Final answer
    x = 5,740.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.